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Summary

Full of relevant and current real-world applications, Stefan Waner and Steven Costenoble's FINITE MATHEMATICS AND APPLIED CALCULUS, Fifth Edition helps your students relate to mathematics! Throughout the text is clearly delineated, thorough Microsoft® Excel® and Graphing Calculator instruction, optional so instructors can include any amount of technology instruction in their courses. Acclaimed for accuracy and readability, FINITE MATHEMATICS AND APPLIED CALCULUS, Fifth Edition connects with all types of teaching and learning styles. Resources like the accompanying website allow the text to support a range of course formats, from traditional lectures to strictly online courses.

Table of Contents

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Precalculus Review

Real Numbers

Exponents and Radicals

Multiplying and Factoring Algebraic Equations

Rational Expressions

Solving Polynomial Equations

Solving Miscellaneous Equations

The Coordinate Plane

Functions and Linear Models

Functions from the Numerical, Algebraic, and Graphical Viewpoints

Applications: Functions and Models

Linear Functions and Models

Linear Regression

Systems of Linear Equations and Matrices

Systems of Two Equations in Two Unknowns

Using Matrices to Solve Systems of Equations

Applications of Systems of Linear Equations

Matrix Algebra and Applications

Matrix Addition and Scalar Multiplication

Matrix Multiplication

Matrix Inversion

Game Theory

Input-Output Models

Linear Programming

Graphing Linear Inequalities

Solving Linear Programming Problems Graphically

The Simplex Method: Solving Standard Maximization Problems

The Simplex Method: Solving General Linear Programming Problems

The Simplex Method and Duality

The Mathematics of Finance

Simple Interest

Compound Interest

Annuities, Loans, and Bonds

Sets and Counting

Sets and Set Operations

Cardinality

The Addition and Multiplication Principles

Permutations and Combinations

Probability

Sample Spaces and Events

Relative Frequency

Probability and Probability Models

Probability and Counting Techniques

Conditional Probability and Independence

Bayes' Theorem and Applications

Markov Systems

Random Variables and Statistics

Random Variables and Distributions

Bernoulli Trials and Binomial Random Variables

Measures of Central Tendency

Measures of Dispersion

Normal Distributions

Nonlinear Functions and Models

Quadratic Functions and Models

Exponential Functions and Models

Logarithmic Functions and Models

Logistic Functions and Models

Introduction to the Derivative

Limits: Numerical and Graphical Approaches

Limits and Continuity

Limits: Algebraic Approach

Average Rate of Change

Derivatives: Numerical and Graphical Viewpoints

Derivatives: Algebraic Viewpoint

Techniques of Differentiation with Applications

Derivatives of Powers, Sums, and Constant Multiples

A First Application: Marginal Analysis

The Product and Quotient Rules

The Chain Rule

Derivatives of Logarithmic and Exponential Functions

Implicit Differentiation

Further Applications of the Derivative

Maxima and Minima

Applications of Maxima and Minima

Higher Order Derivatives: Acceleration and Concavity

Analyzing Graphs

Related Rates

Elasticity

The Integral

The Indefinite Integral

Substitution

The Definite Integral: Numerical and Graphical Approaches

The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus

Further Integration Techniques and Applications of the Integral

Integration by Parts

Area Between Two Curves and Applications

Averages and Moving Averages

Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams

Improper Integrals and Applications

Differential Equations and Applications

Optional Internet Topic: Taylor Polynomials

Functions of Several Variables

Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints